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Finding the Fourth Proportional to 17,735.92, 24,463.46 and 12,947.46

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Solution

The fourth proportional to 17,735.92, 24,463.46 and 12,947.46 is: 17,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.92 : 24,463.46 = 12,947.46 : x
  2. Step 2: Convert to fraction form
    17,735.92/24,463.46 = 12,947.46/x
  3. Step 3: Cross multiply
    17,735.92x = 24,463.46 × 12,947.46
  4. Step 4: Simplify right side
    17,735.92x = 316,739,669.81
  5. Step 5: Solve for x
    x = 316,739,669.81/17,735.92
  6. Step 6: Final answer
    x = 17,858.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.